UW Rainwater Seminar
Date: May 3 at 2:30
Speaker: Tom Meyerovitch, UBC
Title: Entropy and measures of maximal entropy for axial powers of subshifts
For a one-dimensional subshift X, the d-th axial power is the Z^d-subshift obtained by enforcing the constraints of X in every dimension.
Continuing work of Erez Louidor, Brian Marcus and Ronnie Pavlov, I'll prove that the limit of the topological entropy as the dimension d goes to infinity is equal to an easily-computable property of the underlying one-dimensional subshift - "independence entropy".
The limiting measures of maximal entropy as d goes to infinity will also be discussed.
Time permitting, I'll review some examples of models for which these results apply: high dimensional versions of n-colored chessboards, iceberg models and hard-square models.
This talk is based on joint work in progress with Ronnie Pavlov.